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math.CO2026
A Murnaghan--Nakayama rule for dual stable Grothendieck functions
Dang Tuan Hiep, Do Le Hai Thuy
We give a closed boundary formula for multiplication by power sums in the dual stable Grothendieck basis. The off-diagonal coefficients are signed binomial coefficients supported o…
math.CO2022★ 1 cited
Newton polytope of good symmetric polynomials
Khanh Nguyen Duc, Nguyen Thi Ngoc Giao, Dang Tuan Hiep +1
We introduce a general class of symmetric polynomials that have saturated Newton polytope and their Newton polytope has integer decomposition property. The class covers numerous pr…